The app allows customers to customize all orders, as well as store past orders, payment, and delivery information. All Papa John's orders made via Apple TV are automatically discounted 25%.

"We found there are new ordering occasions that were happening out there all the time… especially with streaming videos and all the binge watching that is happening," Papa John's senior director of digital marketing Anne Fischer told Business Insider.

According to Ritchie, the chain has been expanding its digital orders by 3% to 5% every year since late 2010. The company believes this growth will continue at least until 70% to 80% of all of Papa John's orders are digital.

However, while Ritchie says new digital channels are an important avenue for digital growth, they are far from the only way to boost digital sales.

Papa John's has far fewer digital partnerships than rival Domino's, which also sells more than 50% of orders through digital channels and allows customers to order through the Samsung Smart TV, Apple Watch, Amazon Echo, and simply by tweeting a pizza emoji. However, Ritchie says Papa John's doesn't want a plethora of partnerships — especially if it means a drop in quality.

"It always comes back to customer experience," says Ritchie. "If we go on [platforms] with adverse customer experience, we run the risk of losing the customer."